Use each diagram to solve for x.
(pictures provided)
1. x =
2. x =

1. Since interior adjacent angles are equal
The angle 6x+3 is equal to 45 degrees
so 6x+3=45 ➡️ 6x=45-3 ➡️ 6x=42
x=42/6, x=7
Ans: x=7 degrees
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2. Since congruent angles are equal
The angle 5x+19= 7x-1
so 5x+19=7x-1 ➡️ 5x+19+1=7x ➡️ 20=7x-5x ➡️ 2x=20
x=20/2=10.
Ans: x=10 degrees
Answer:
see explanation
Step-by-step explanation:
Since the lines are parallel then
6x + 3 and 45 are alternate angles and congruent, hence
6x + 3 = 45 ( subtract 3 from both sides )
6x = 42 ( divide both sides by 6 )
x = 7
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Since the lines are parallel then
7x - 1 and 5x + 19 are corresponding angles and congruent, hence
7x - 1 = 5x + 19 ( subtract 5x from both sides )
2x - 1 = 19 ( add 1 to both sides )
2x = 20 ( divide both sides by 2 )
x = 10